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Finding the Third Proportional to 272,978 and 590,670

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Solution

The third proportional to 272,978 and 590,670 is: 1,278,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,978 : 590,670 = 590,670 : x
  2. Step 2: Convert to fraction form
    272,978/590,670 = 590,670/x
  3. Step 3: Cross multiply
    272,978x = 590,670 × 590,670
  4. Step 4: Simplify right side
    272,978x = 348,891,048,900
  5. Step 5: Solve for x
    x = 348,891,048,900/272,978
  6. Step 6: Final answer
    x = 1,278,092.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.